Bogoyavlenskij symmetries of ideal MHD equilibria as Lie point transformations

被引：8

作者：

Cheviakov, AF ^{[1
]}

机构：

[1] Queens Univ, Dept Math & Stat, Kingston, ON K7L 3N6, Canada

来源：

PHYSICS LETTERS A | 2004年 / 321卷 / 01期

关键词：

MHD equilibrium; plasma; Lie point transformations; analytical methods; Bogoyavlenskij symmetries;

D O I：

10.1016/j.physleta.2003.12.006

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this Letter we establish the correspondence between Bogoyavlenskij symmetries [Phys. Lett. A. 291 (4-5) (2001) 256, Phys. Rev. E. 66 (5) (2002) 056410] of the MHD equilibrium equations and Lie point transformations of these equations. We show that certain non-trivial Lie point transformations (that are obtained by direct application of Lie method) are equivalent to Bogoyavlenskij symmetries. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：34 / 49

页数：16

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